Reflexivity of convex subsets of L(H) and subspaces of .

Shehada, Hasan A.

Displaying similar documents to “Reflexivity of convex subsets of L(H) and subspaces of $l^{p}$ .”

Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators.

Soltanov, Kamal N. (2007)

Fixed Point Theory and Applications [electronic only]

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A $G$ -KKM type theorem and its applications to minimax inequalities on $G$ -convex spaces.

Chowdhury, Mohammad S.R. (1998)

Journal of Applied Mathematics and Stochastic Analysis

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Quotients of Continuous Convex Functions on Nonreflexive Banach Spaces

P. Holický, O. F. K. Kalenda, L. Veselý, L. Zajíček (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

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On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction also gives a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals. ...